You are previewing Statistics and Probability with Applications for Engineers and Scientists, Preliminary Edition.
O'Reilly logo
Statistics and Probability with Applications for Engineers and Scientists, Preliminary Edition

Book Description

All statistical concepts are supported by a large number of examples using data encountered in real life situations; and the text illustrates how the statistical packages MINITAB®, Microsoft Excel ®, and JMP® may be used to aid in the analysis of various data sets. The text also covers an appropriate and understandable level of the design of experiments. This includes randomized block designs, one and two-way designs, Latin square designs, factorial designs, response surface designs, and others. This text is suitable for a one- or two-semester calculus-based undergraduate statistics course for engineers and scientists, and the presentation of material gives instructors flexibility to pick and choose topics for their particular courses.

Table of Contents

  1. Cover Page
  2. Title Page
  3. Copyright
  4. About the Preliminary Edition
  5. 2: Describing Data Graphically and Numerically
    1. 2.1 Getting Started with Statistics
    2. 2.3 Frequency Distribution Tables for Qualitative and Quantitative Data
    3. 2.11 Using JMP
  6. Contents
  7. PREFACE
    1. Audience
    2. Motivation
    3. History
    4. Approach
    5. Hallmark Features
    6. Instructor Resources
    7. Acknowledgments
  8. Chapter 1: Introduction
    1. Designed Experiment
    2. A Survey
    3. An Observational Study
    4. A Set of Historical Data
    5. A Brief Description of What is Covered in this Book
  9. Chapter 2: Describing Data Graphically and Numerically
    1. 2.1 Getting Started With Statistics
    2. 2.2 Classification of Various Types of Data
    3. 2.3 Frequency Distribution Tables for Qualitative and Quantitative Data
    4. 2.4 Graphical Description of Qualitative and Quantitative Data
    5. 2.5 Numerical Measures of Quantitative Data
    6. 2.6 Numerical Measures of Grouped Data
    7. 2.7 Measures of Relative Position
    8. 2.8 Box-Whisker Plot
    9. 2.9 Measures of Association
    10. 2.10 Case Studies
    11. 2.11 Using JMP
    12. Review Practice Problems
  10. Chapter 3: Elements of Probability
    1. Introduction
    2. 3.1 Random Experiments, Sample Spaces and Events Random Experiments and Sample Spaces
    3. 3.2 Concepts of Probability
    4. 3.3 Techniques of Counting Sample Points
    5. 3.4 Conditional Probability
    6. 3.5 Bayes’ Theorem
    7. 3.6 Introducing Random Variables
    8. Review Practice Problems
  11. Chapter 4: Discrete Random Variables and Some Important Discrete Probability Distributions
    1. 4.1 Graphical Descriptions of Discrete Distributions
    2. 4.2 Mean and Variance of a Discrete Random Variable
    3. 4.3 The Discrete Uniform Distribution
    4. 4.4 The Hypergeometric Distribution
    5. 4.5 The Bernoulli Distribution
    6. 4.6 The Binomial Distribution
    7. 4.7 The Multinomial Distribution
    8. 4.8 The Poisson Distribution
    9. 4.9 The Negative Binomial Distribution
    10. 4.10 Some Derivations and Proofs (Optional)
    11. 4.11 A Case Study
    12. 4.12 Using JMP
    13. Review Practice Problems
  12. Chapter 5: Continuous Random Variables and Some Important Continuous Probability Distributions
    1. 5.1 Continuous Random Variables
    2. 5.2 Mean and Variance of Continuous Random Variables
    3. 5.3 Chebychev's Inequality
    4. 5.4 The Uniform Distribution
    5. 5.5 The Normal Distribution
    6. 5.6 Distribution of Linear Combination of Independent Normal Variables
    7. 5.7 Approximation of the Binomial Distribution by the Normal Distribution
    8. 5.8 A Test of Normality
    9. 5.9 The Lognormal Distribution
    10. 5.10 The Exponential Distribution
    11. 5.11 The Gamma Distribution
    12. 5.12 The Weibull Distribution
    13. 5.13 A Case Study
    14. 5.14 Using JMP
    15. Review Practice Problems
  13. Chapter 6: Distribution of Functions of Random Variables
    1. Introduction
    2. 6.1 Distribution Functions of Two Random Variables
    3. 6.2 Extension to Several Random Variables
    4. 6.3 The Moment-Generating Function Revisited
    5. Review Practice Problems
  14. Chapter 7: Sampling Distributions
    1. 7.1 Random Sampling
    2. 7.2 The Sampling Distribution of the Mean
    3. 7.3 Sampling from a Normal Population
    4. 7.4 Order Statistics
    5. 7.5 Using JMP
    6. Review Practice Problems
  15. Chapter 8: Estimation of Population Parameters
    1. 8.1 Introduction
    2. 8.2 Point Estimators for the Population Mean and Variance
    3. 8.3 Interval Estimators for the Mean μ of a Normal Population
    4. 8.4 Interval Estimators for the Difference of Means of Two Normal Populations
    5. 8.5 Interval Estimators for the Variance of a Normal Population
    6. 8.6 Interval Estimator for the Ratio of Variances of Two Normal Populations
    7. 8.7 Point and Interval Estimators for the Parameters of Binomial Populations
    8. 8.8 Determination of Sample Size
    9. 8.9 Some Supplemental Information (Optional)
    10. 8.10 A Case Study
    11. 8.11 Using JMP
    12. Review Practice Problems
  16. Chapter 9: Hypothesis Testing
    1. 9.1 Introduction
    2. 9.2 Basic Concepts of Testing a Statistical Hypothesis
    3. 9.3 Tests Concerning the Mean of a Normal Distribution Having Known Variance Case of a Left-Sided (One-Tail) Test
    4. 9.4 Tests Concerning the Mean of a Normal Population Having Unknown Variance
    5. 9.5 Large Sample Theory
    6. 9.6 Tests Concerning the Difference of Means of Two Populations Having Distributions with Known Variances
    7. 9.7 Tests Concerning the Difference of Means of Two Populations Having Distributions with Unknown Variances
    8. 9.8 Testing Population Proportions
    9. 9.9 Tests Concerning the Variance of a Normal Distribution
    10. 9.10 Tests Concerning the Ratio of Variances of Two Normal Populations
    11. 9.11 An Alternative Technique for Testing of Statistical Hypotheses: Using Confidence Intervals
    12. 9.12 Sequential Tests of Hypotheses (Optional)
    13. 9.13 Case Studies
    14. 9.14 Using JMP
    15. Review Practice Problems
  17. Chapter 10: Elements of Reliability Theory
    1. 10.1 The Reliability Function
    2. 10.2 Estimation: Exponential Distribution
    3. 10.3 Hypothesis Testing: Exponential Distribution
    4. 10.4 Estimation: Weibull Distribution
    5. 10.5 Case Studies
    6. 10.6 Using JMP
    7. Review Practice Problems
  18. Chapter 11: Statistical Quality Control and Phase I Control Charts
    1. 11.1 Basic Concepts of Quality and Its Benefits
    2. 11.2 What Is a Process?
    3. 11.3 Common and Assignable Causes
    4. 11.4 Control Charts
    5. 11.5 Control Charts for Variables
    6. 11.6 Control Charts for Attributes
    7. 11.7 Process Capability
    8. 11.8 Case Studies
    9. 11.9 Using JMP
    10. Review Practice Problems
  19. Chapter 12: Statistical Quality Control and Phase II Control Charts
    1. 12.1 Basic Concepts of CUSUM Control Chart
    2. 12.2 Designing a CUSUM Control Chart
    3. 12.3 The Moving Average (MA) Control Chart
    4. 12.4 The Exponentially Weighted Moving Average (EWMA) Control Chart
    5. 12.5 Case Studies
    6. 12.6 Using JMP
    7. Review Practice Problems
  20. Chapter 13: Analysis of Categorical Data
    1. 13.1 Introduction
    2. 13.2 The Chi-square Goodness-of-Fit Test
    3. 13.3 Contingency Tables
    4. 13.4 Chi-Square Test for Homogeneity
    5. 13.5 Comments on the Distribution of the Lack-of-Fit Statistics (optional)
    6. 13.6 Case Studies:
    7. 13.7 Using JMP
    8. Review Practice Problems
  21. Chapter 14: Nonparametric Tests
    1. 14.1 Introduction
    2. 14.2 THE SIGN TEST
    3. 14.3 Mann-Whitney (Wilcoxon) W Test for Two Samples
    4. 14.4 Run Tests
    5. 14.5 Spearman Rank Correlation
    6. 14.6 Using JMP
    7. Review Practice Problems
  22. Chapter 15: Simple Linear Regression Analysis
    1. 15.1 Introduction
    2. 15.2 Fitting the Simple Linear Regression Model
    3. 15.3 Unbiased Estimator of σ 2
    4. 15.4 Further Inferences Concerning Regression Coefficients ( β 0 , β 1 ), E ( Y ), and Y
    5. 15.5 Tests of Hypotheses for β 0 and β 1
    6. 15.6 Analysis of Variance Approach to Simple Regression Analysis
    7. 15.7 Residual Analysis
    8. 15.8 Transformations
    9. 15.9 Inference About ρ
    10. 15.10 A Case Study
    11. 15.11 Using JMP
    12. Review Practice Problems
  23. Chapter 16: Multiple Linear Regression Analysis
    1. 16.1 Introduction
    2. 16.2 The Multiple Linear Regression Model
    3. 16.3 Estimation of Regression Coefficients
    4. 16.4 The Multiple Linear Regression Model Using Qualitative or Categorical Predictor Variables
    5. 16.5 Standardized Regression Coefficients
    6. 16.6 Building Regression-Type Prediction Models
    7. 16.7 Residual Analysis
    8. 16.8 Logistic Regression
    9. 16.9 Case Studies
    10. 16.10 Using JMP
    11. Review Practice Problems
  24. Chapter 17: Analysis of Variance
    1. 17.1 Introduction
    2. 17.2 Design Models
    3. 17.3 One-Way Experimental Layouts
    4. 17.4 Randomized Complete Block Designs
    5. 17.5 Two-Way Experimental Design
    6. 17.6 Latin Square Designs
    7. 17.7 Random Effects Model
    8. 17.8 A Case Study
    9. 17.9 Using JMP
    10. Review Practice Problems
  25. Chapter 18: The 2 k Factorial Designs
    1. Introduction
    2. 18.1 The Factorial Designs
    3. 18.2 The 2 k Factorial Design
    4. 18.3 Unreplicated 2 k Factorial Designs
    5. 18.4 Blocking the 2 k Factorial Design
    6. 18.5 The 2 k Fractional Factorial Designs
    7. 18.6 Case Studies
    8. 18.7 Using JMP
    9. Review Practice Problems
  26. Chapter 19: Response Surfaces
    1. Introduction
    2. 19.1 Basic Concepts of Response Surface Methodology
    3. 19.2 First-Order Designs
    4. 19.3 Second-Order Designs
    5. 19.4 Determination of Optimum or Near-Optimum Point
    6. 19.5 ANOVA Table for a Second-order Model
    7. 19.6 Case Studies
    8. 19.7 Using JMP
    9. Review Practice Problems
  27. Appendices
    1. Appendix A: Web Tables
  28. Appendix B: Answers to Selected Problems
  29. Appendix C: Bibliography
  30. Index